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Finding the Third Proportional to 168,821.63 and 257,520.38

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Solution

The third proportional to 168,821.63 and 257,520.38 is: 392,821.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,821.63 : 257,520.38 = 257,520.38 : x
  2. Step 2: Convert to fraction form
    168,821.63/257,520.38 = 257,520.38/x
  3. Step 3: Cross multiply
    168,821.63x = 257,520.38 × 257,520.38
  4. Step 4: Simplify right side
    168,821.63x = 66,316,743,540.14
  5. Step 5: Solve for x
    x = 66,316,743,540.14/168,821.63
  6. Step 6: Final answer
    x = 392,821.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.